Solving Polynomials rational root theorem

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = x³ + 2x² - 6x + 8

• ±1, ±8
• ±1, ±2, ±4, ±8
• ±1, ±2, ±4
• 1, 2, 4, 8

Tags

CCSS.HSA.APR.B.2

According to the Rational Root Theorem, what are the all possible rational roots? 
2x³ - 11x² + 12x + 9 = 0

• ±1,±2
• ±1,±3,±9
• ±1,±3±9,±1/2,±3/2,±9/2
• ±1,±2,±1/3,±2/3,±1/9,±2/9

Is (x-3) a factor of
(x³ - 3x² + 2x + 2)?

• Yes
• No

Tags

CCSS.HSA.APR.B.2

Factor:
 x³-12x²+47x-60=0 when 5 is a root.

• (x-3)(x-4)(x-5)=0
• (x+1)(x-4)(x-5)=0
• (x-3)(x-4)(2x-5)=0
• (x-5)(x-4)(x-5)=0

Tags

CCSS.HSA.APR.B.2

Find all the real zeros of the function

f(x) = 2x³ - 19x² + 38x + 24 given that (x-4) is a factor.

• x = 1/2, -6

• x = -1/2, 6

• x = 4, -1/2, 6

• x = -4, 1/2, -6

Tags

CCSS.HSA.APR.B.2

Below are four possible zeros for this polynomial.
Figure out which one "works" and can be used to find the others.
f(x) = x³ + 2x² - 11x - 12

• -3
• -4
• 1
• 6

Factor the difference of a cube.

• (x + 3)(x-3)

•  $\left(x-3\right)\left(x^2-3x\ +9\right)$  

•  $\left(x\ -3\right)\left(x^2+3x\ +\ 9\right)$  

• none of the above

Tags

CCSS.HSA.APR.C.4

Substitute 3 in for "x" and solve.

• -2

• 2

• -603

• none of the above

Tags

CCSS.6.EE.A.2C

Factor the following by grouping.

• (3x + 2)(x + 4)

• 3x(x + 2x)(4x +8)

• (x + 2)(3x + 4)

• none of the above

Given the polynomial below, how many roots will it have?
 $y=x^3+5x^2-9x-2$  

• 2

• 1

• 3

• 0